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Finding the Fourth Proportional to 225,710.08, 311,477.88 and 123,741.36

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Solution

The fourth proportional to 225,710.08, 311,477.88 and 123,741.36 is: 170,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,710.08 : 311,477.88 = 123,741.36 : x
  2. Step 2: Convert to fraction form
    225,710.08/311,477.88 = 123,741.36/x
  3. Step 3: Cross multiply
    225,710.08x = 311,477.88 × 123,741.36
  4. Step 4: Simplify right side
    225,710.08x = 38,542,696,481.12
  5. Step 5: Solve for x
    x = 38,542,696,481.12/225,710.08
  6. Step 6: Final answer
    x = 170,761.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.